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Finding the Fourth Proportional to 314,372.64, 433,766.97 and 187,023.36

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Solution

The fourth proportional to 314,372.64, 433,766.97 and 187,023.36 is: 258,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,372.64 : 433,766.97 = 187,023.36 : x
  2. Step 2: Convert to fraction form
    314,372.64/433,766.97 = 187,023.36/x
  3. Step 3: Cross multiply
    314,372.64x = 433,766.97 × 187,023.36
  4. Step 4: Simplify right side
    314,372.64x = 81,124,556,186.42
  5. Step 5: Solve for x
    x = 81,124,556,186.42/314,372.64
  6. Step 6: Final answer
    x = 258,052.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.